Least Common Multiple of 865/482, 8105/5076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 865/482, 8105/5076 quickly i.e. 1402165/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/482, 8105/5076 is 1402165/2.

LCM(865/482, 8105/5076) = 1402165/2

LCM of 865/482, 8105/5076

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 865/482,8105/5076

Given numbers are 865/482,8105/5076

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 865,8105

Least Common Multiple of Numerators i.e. LCM of 865,8105 is 1402165.

GCF of Denominators means GCF of 482,5076 as per the given fractions.

GCF of 482,5076 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,8105

LCM of Fractions 865/482,8105/5076 is 1402165/2

5 865, 8105
173, 1621

∴ So the LCM of the given numbers is 5 x 173 x 1621 = 1402165

Least Common Multiple of 865,8105 with GCF Formula

Least Common Multiple of 865,8105 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 865,8105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,8105) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(865,8105) x common factors =5 x 1 = 5

LCM(865,8105) = ( 865 × 8105 ) / 5

LCM(865,8105) = 7010825 / 5

LCM(865,8105) = 1402165


Lets's calculate GCF of 482,5076

2 482, 5076
241, 2538

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1402165/2

Therefore the LCM of Fractions 865/482,8105/5076 is 1402165/2

Greatest Common Factor of 482,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,5076 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 482,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 482,5076 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 865/482, 8105/5076

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 865/482, 8105/5076?

Answer: LCM of Numerators as per given numbers 865/482, 8105/5076 is

LCM of Numerators i.e. for 865,8105 is 1402165

GCF of denominators i.e. for 482,5076 is 2.

Thus, LCM of Fractions is 1402165/2.Finally, LCM of Fractions for 865/482, 8105/5076 is 1402165/2.